74 citations · 192 across the 22 of their papers we have counts for
4 papers · 1 filter
A multi-moment scheme for the two dimensional Maxwell's equations
Kazufumi Ito, Tomoya Takeuchi
We develop a numerical scheme for solving time-domain Maxwell's equation. The method is motivated by CIP method which uses function values and its derivatives as unknown variables.…
A new approach to nonlinear constrained Tikhonov regularization
Kazufumi Ito, Bangti Jin
We present a novel approach to nonlinear constrained Tikhonov regularization from the viewpoint of optimization theory. A second-order sufficient optimality condition is suggested…
CIP methods for hyperbolic system with variable and discontinuous coefficient
Kazufumi Ito, Tomoya Takeuchi
We propose a multi-moment method for one-dimensional hyperbolic equations with smooth coefficient and piecewise constant coefficient. The method is entirely based on the backward c…
Multi-Parameter Tikhonov Regularization
Kazufumi Ito, Bangti Jin, Tomoya Takeuchi
We study multi-parameter Tikhonov regularization, i.e., with multiple penalties. Such models are useful when the sought-for solution exhibits several distinct features simultaneous…